127737619216 has 45 divisors (see below), whose sum is σ = 249296787381. Its totient is φ = 63406328832.

The previous prime is 127737619211. The next prime is 127737619223. The reversal of 127737619216 is 612916737721.

It is a happy number.

The square root of 127737619216 is 357404.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 78062124816 + 49675494400 = 279396^2 + 222880^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127737619211) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 284493360 + ... + 284493808.

Almost surely, 2^127737619216 is an apocalyptic number.

127737619216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

127737619216 is the 357404-th square number.

It is an amenable number.

127737619216 is a deficient number, since it is larger than the sum of its proper divisors (121559168165).

127737619216 is an frugal number, since it uses more digits than its factorization.

127737619216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 650 counting only the distinct ones).

The product of its digits is 1333584, while the sum is 52.

The spelling of 127737619216 in words is "one hundred twenty-seven billion, seven hundred thirty-seven million, six hundred nineteen thousand, two hundred sixteen".